Class 8 Practice – Level 2 – Set 1 – Practical Geometry

Total questions: 25

When constructing a quadrilateral given the lengths of its sides and one diagonal, which step comes after drawing the given diagonal?

Topic: Construction of Quadrilaterals

Draw the other diagonal.

Mark the angles between the sides.

Connect the endpoints of the sides to form the quadrilateral.

Use a compass to create arcs from the endpoints

None

Which statement is true about the diagonals of a rhombus?

Topic: Special Cases of Parallelograms

The diagonals are equal in length and bisect each other at right angles.

The diagonals bisect each other at right angles but are not necessarily equal.

The diagonals are equal in length and bisect the angles of the rhombus.

The diagonals are perpendicular and intersect at their midpoints, but not necessarily equal.

None

When constructing a triangle with given two sides and the included angle, which tool is necessary to measure the angle accurately?

Topic: Tools for Construction

Ruler

Protractor

Divider

Compass

None

When constructing a triangle given the lengths of all three sides, what is the first step?

Topic: Steps of Construction

Draw one side of the triangle.

Use a protractor to mark the angles.

Draw the altitude from one vertex.

Create an arc from each vertex.

None

Which of the following is a necessary condition to construct a parallelogram when given two adjacent sides and the included angle?

Topic: Construction of Quadrilaterals

The opposite angles must be known.

The adjacent sides and one angle are enough to construct a parallelogram.

The lengths of the diagonals must be known.

The length of one diagonal and the adjacent angle must be known.

None

In a square, which of the following is true about the diagonals?

Topic: Special Cases of Parallelograms

The diagonals are equal in length and bisect each other at right angles

The diagonals are equal in length but do not bisect each other at right angles.

The diagonals bisect each other but are not necessarily equal.

The diagonals are perpendicular and unequal in length.

None

Which tool is essential for constructing a bisector of an angle?

Topic: Tools for Construction

Protractor

Compass

Divider

Ruler

None

In the construction of an equilateral triangle given the side length, which is the first step?

Topic: Steps of Construction

Mark the altitude from one vertex.

Draw a line segment equal to the side length.

Use a protractor to mark 60-degree angles.

Draw the median from the midpoint of one side.

None

What is the key property of the diagonals in a kite?

Topic: Construction of Quadrilaterals

The diagonals are equal and bisect each other.

The diagonals bisect each other at right angles.

One diagonal is the perpendicular bisector of the other.

Both diagonals are perpendicular and unequal.

None

10.

How is a rectangle different from a general parallelogram in terms of its angles?

Topic: Special Cases of Parallelograms

All angles are acute.

All angles are right angles.

Opposite angles are equal.

Adjacent angles are supplementary.

None

11.

Which tool is commonly used to transfer a given length from one place to another during construction?

Topic: Tools for Construction

Ruler

Compass

Protractor

Divider

None

12.

In constructing a quadrilateral when given the sides and one angle, which of the following steps should come immediately after drawing the first side?

Topic: Steps of Construction

Mark the diagonals.

Measure the given angle using a protractor.

Use the compass to set the distance for the adjacent side.

Draw all remaining sides directly.

None

13.

When constructing a trapezium with known parallel sides and the distance between them, which is the first step?

Topic: Construction of Quadrilaterals

Draw one of the parallel sides.

Use the compass to set the length of the non-parallel sides.

Draw the diagonals.

Use a protractor to measure the angles.

None

14.

Which property distinguishes a rhombus from a general parallelogram?

Topic: Special Cases of Parallelograms

All sides are equal in length.

All angles are 90 degrees.

The diagonals are equal in length.

The diagonals are perpendicular to each other.

None

15.

Which of the following is essential to draw a perpendicular line from a point on a given line?

Topic: Tools for Construction

Protractor

Compass

Ruler

Divider

None

16.

Which step is necessary to construct a regular pentagon given the side length?

Topic: Steps of Construction

Draw the diagonals to form congruent triangles.

Use a protractor to mark angles of 108 degrees.

Construct the height from the center to a vertex.

Draw all sides at equal distances using a ruler.

None

17.

If a quadrilateral is given with two adjacent sides and the length of one diagonal, which method is used to complete the construction?

Topic: Construction of Quadrilaterals

Draw the remaining sides directly.

Use the known side lengths to construct arcs from each endpoint of the diagonal.

Measure the internal angles with a protractor.

Use the ruler to connect the points.

None

18.

In a rectangle, which of the following statements about the diagonals is true?

Topic: Special Cases of Parallelograms

They bisect each other and are unequal in length

They are equal in length and bisect each other.

They bisect each other at right angles but are unequal.

They are not equal and do not bisect each other.

None

19.

Which tool is used to measure the distance between two points on a drawing?

Topic: Tools for Construction

Compass

Protractor

Divider

Ruler

None

20.

In constructing a triangle given two sides and the included angle, what is the role of the compass?

Topic: Steps of Construction

To measure the angles.

To create arcs from the vertex to mark the length of the sides.

To draw the base side.

To draw perpendicular bisectors.

None

21.

When constructing a rhombus, which of the following properties must be true?

Topic: Construction of Quadrilaterals

All sides are equal, and opposite angles are equal.

All angles are 90 degrees, and the diagonals are equal.

Opposite sides are equal, and diagonals bisect each other at right angles.

Only the diagonals are equal.

None

22.

What tool is used to draw a straight line between two points accurately?

Topic: Tools for Construction

Compass

Protractor

Ruler

Divider

None

23.

In the construction of an equilateral triangle given the side length, what is the correct first step?

Topic: Steps of Construction

Draw the side of the triangle using a ruler.

Measure and mark 60-degree angles.

Use a compass to set the side length and draw an arc.

Draw the height from the vertex to the midpoint of the base.

None

24.

Which property is characteristic of a square that distinguishes it from other types of parallelograms?

Topic: Special Cases of Parallelograms

It has opposite sides that are equal.

Its diagonals are perpendicular to each other and bisect at 90 degrees.

It has four right angles.

Its sides are not equal.

None

25.

What is the purpose of a divider when used in practical geometry?

Topic: Tools for Construction

To draw circles with a specific radius.

To measure angles.

To transfer distances accurately from one part of a drawing to another.

To mark the center point of a line segment.

None

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Class 8 Practice – Level 2 – Set 1 – Practical Geometry

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